2010/07/03 by Peter Kreyssig, Kreyssig, Peter
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #math.DG
paper · pdf · doi:10.48550/arxiv.1007.0477
arxiv created 2010/07/03 · openalex publication_date 2010/07/03 · arxiv updated 2010/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The title is self-explanatory. We aim to give an easy to read and self-contained introduction to the field of harmonic manifolds. Only basic knowledge of Riemannian geometry is required. After we gave the definition of harmonicity and derived some properties, we concentrate on Z. I. Szabó's proof of Lichnerowicz's conjecture in the class of compact simply connected manifolds.